Certificate for #3329 ⟨a, b | aaaaaabbaa=a⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b

Axiom: aaaaaabbaa=a.

Referenced by [2], [3], [4], [5], [6].

Overlap of [1] aaaaaabbaa=a with [1] aaaaaabbaa=a:

Critical pair: aaaaaabba=aaaaabbaa.

Flip LHS and RHS.

Referenced by [3], [4], [5], [6].

Overlap of [1] aaaaaabbaa=a with [2] aaaaabbaa=aaaaaabba:

Critical pair: aaaaaabbaaaaaabba=aaaabbaa.

Reduce LHS:

Flip LHS and RHS.

Referenced by [5].

Overlap of [2] aaaaabbaa=aaaaaabba with [2] aaaaabbaa=aaaaaabba:

Critical pair: aaaaabbaaaaaabba=aaaaaabbaaaabbaa.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Referenced by [5].

Overlap of [4] aaabbaa=aaaabba with [2] aaaaabbaa=aaaaaabba:

Critical pair: aaabbaaaaaabba=aaaabbaaaabbaa.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Defines rule #1.

Overlap of [1] aaaaaabbaa=a with [2] aaaaabbaa=aaaaaabba:

Critical pair: aaaaaaabba=a.

Defines rule #2.